Finding the Third Proportional to 10,257 and 20,271

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257 : 20,271 = 20,271 : x
2. Step 2: Convert to fraction form
   10,257/20,271 = 20,271/x
3. Step 3: Cross multiply
   10,257x = 20,271 × 20,271
4. Step 4: Simplify right side
   10,257x = 410,913,441
5. Step 5: Solve for x
   x = 410,913,441/10,257
6. Step 6: Final answer
   x = 40,061.76